What is the value of x?
sin(x+21)°=cos(2x+21)°

Answers

Answer 1
we know that
if sin A=cos B
then
angle A and angle B are complementary angles
so
A+B=90°

in this problem
(x+21)+(2x+21)=90-------> 3x+42=90-------> 3x=48-----> x=16°

Related Questions

(60 Points)


Question 1
Use the net to determine the total surface area.

(Picture 1)


A. 72 in2


B. 192 in2


C. 232 in2


D. 200 in2

Question 2
Use the net to determine the total surface area.

(Picture 2)


A.270 in2


B. 330 in2


C. 350 in2


D. 310 in2

Question 3
Use the net to determine the lateral surface area.

(Picture 3)


A. 134.4 in2


B. 72 in2


C. 103.2 in2


D. 92.8 in2

Question 4
Use the net to determine the total surface area.

(Picture 4)


A. 528 cm2


B. 480 cm2


C. 336 cm2


D. 192 cm2

Question 5
Use the net to determine the total surface area.

(Picture 5)


A. 249.6 cm2


B. 499.2 cm2


C. 108 cm2


D. 278.4 cm2

Answers

A
D
C
B

I believe those are your answers

The total surface area of each of the figure are 232 inches², 310 inches², 103.2 inches², 336 cm² and 249.6 cm².

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

1) Total surface area = (10 × 8) + (10 × 2) + (10 × 8) + (10 × 2) + (8 × 2) + (8 ×2)

                                  = 232 inches²

2) Total surface area = 2 [(10 × 7) + (10 × 5) + (7 × 5)]

                                  = 310 inches²

3) Total surface area = (2)(6)(4) + (2)(1/2)(6)(5.2) + (6)(4)

                                   = 103.2 inches²

4) Total surface area = (4)(1/2)(8)(12) + (12)(12)

                                   = 336 cm²

5) Total surface area = (4)(1/2)(12)(10.4)

                                   = 249.6 cm²

Hence the total surface area area found.

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The circle has a radius of 3 cm. What is the area of the circle?
A. 9.42 cm2
B. 56.52 cm2
C. 18.84 cm2
D. 28.26 cm2

Answers

you would do 
3.14*r^2 
which is 3
r=3
what you do is 
3.14*3*3 which is 28.26cm^2 which is D

Answer:

D: 28.26

Step-by-step explanation:

Find the value of x in each of the following:
[tex] \sqrt[3]{27} = \: x[/tex]

[tex] \sqrt[3]{x} = \frac{1}{4} [/tex]

[tex] \sqrt[3]{ \frac{1}{512} } = \: x[/tex]

[tex] \sqrt[3]{x} = 11[/tex]

Please explain how you got your answer(s), thanks!

Answers

the first one: x is 3 because 3 x 3 x 3 is 27
the second one: x is 1/64 because the denominator, 4, to the power of 3 is 64. Anything rad 1 will always be 1, ∛64 is 4.
the third one: x is 1/8 because 8 x 8 x 8 which is the same thing as 8^3 is 512.
∛1/512 (1 divided or multiplied by 1 is always going to be 1) 
the fourth one: x is 1331, I know this because I did, 11 x 11 x 11 to get 1331.
Let me know if this doesn't make sense 

Need help please, pt 4 Thanks!

Answers

Hello,
Please, see the attached files.
Thanks.

Find M angle P
The diagram is not a scale

Answers

106 + m∠p = 180

Subtract 106 from both sides. 

m∠p = 74°, the second option. 

What is 10and 1/9 +7and5/6

Answers

Hey there!

First, let's add the whole numbers . . .

10 + 7 = 17

-----------------------------------------------------
Finding the LCD ...

1/9 = 2/18

5/6 = 15/18

2 + 15 = 17

(If both denominators are the same, then they stay the same in the total fraction)

= 17/18

17 + 17/18 = 17 17/18 ←

The correct answer is 17 17/18

10 1/9 + 7 5/6 = 17 17/18

I hope this helps you.
Have a great day! :)

How many solutions over the complex number system does this polynomial have
3x^6-x^3-4x^2+3x+52=0

Answers

For this case we have the following polynomial.
 We note that the polynomial graph cuts only the vertical axis at one point.
 The graph has no other cut points on the x axis
 Therefore, the polynomial has:
 6 complex solutions
 0 real solution
 Answer:
 6 complex solutions
 See attached image

Answer:

6 complex solutions

Step-by-step explanation:

The length and width of the screen of the TV set are in the ratio 16:9. If the perimeter of the screen is 180cm find its length and width

Answers

let
x--------> the length of the screen of the TV
y--------> the width of the screen of the TV

we know that
perimeter of the screen=2*[x+y]
perimeter=180 cm
180=2*[x+y]-----> 90=x+y--------> equation 1

x/y=16/9------>x=(16/9)*y-----> equation 2

substitute the equation 2 in equation 1
90=[(16/9)*y]+y----------> (25/9)*y=90------> y=32.4 cm
x=(16/9)*32.4-----> x=57.6

the answer is
the length of the screen of the TV is 57.6 cm
the width of the screen of the TV is 32.4 cm


(3.) Would you be able to tell how much temperature rose since 6 A.M? Why or why not?

Answers

hmm since it only rose one degree then went down 6 id say around -5* (star is supposivly the degree sign)

how to solve 2x squared -6x-+=0
[tex] {2x}^{2} - 6x - 1 = 0[/tex]

Answers

[tex]2x^2-6x-1=0\ \ \ |:2\\\\x^2-3x-\dfrac{1}{2}=0\\\\x^2-2\cdot x\cdot\dfrac{3}{2}+\left(\dfrac{3}{2}\right)^2-\left(\dfrac{3}{2}\right)^2-\dfrac{1}{2}\\\\=\left(x-\dfrac{3}{2}\right)^2-\dfrac{9}{4}-\dfrac{2}{4}=0\\\\\left(x-\dfrac{3}{2}\right)^2-\dfrac{11}{4}=0\ \ \ \ |+\dfrac{11}{4}\\\\\left(x-\dfrac{3}{2}\right)^2=\dfrac{11}{4}\iff x-\dfrac{3}{2}=\pm\sqrt{\dfrac{11}{4}}\\\\x-\dfrac{3}{2}=-\dfrac{\sqrt{11}}{2}\ \vee\ x-\dfrac{3}{2}=\dfrac{\sqrt{11}}{2}\ \  \ \ |+\dfrac{3}{2}\\\\x=\dfrac{3-\sqrt{11}}{2}\ \vee\ \dfrac{3+\sqrt{11}}{2}[/tex]


[tex]Used:\ (a-b)^2=a^2-2ab+b^2[/tex]

gene bakes 10 loaves of bre for the party. He needs 4 cups of milk for each loaf. How many quarts of milk does he need to make all of the loaves?

Answers

She needs 40cups to make 10 loaves

The number of loaves Josh can bake with 13 and one-third cups of flour is 4 loaves.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity. Unit rate is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has.

13(1/3) can be written as,

= 13(1/3)

= 40/3

Each loaf requires 3 and four-fifths cups of flour.

This can be written as,

3(4/5) cups of flour = 1 loaf

19/5 cups of flour = 1 loaf

Multiply 5/19 on both sides.

1 cup of flour = 5/19 loaf

Multiply 40/3 on both sides.

40/3 cups of flour = 40/3 x 5/19 loaf

40/3 cups of flour = 3.5 loaf

This means we can make 4 loaves.

Thus,

The number of loaves Josh can bake with 13 and one-third cups of flour is 4 loaves.

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complete quesrtion:

Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has. If each loaf requires 3 and four-fifths cups of flour, how many loaves can Josh bake? 3 loaves of bread 4 loaves of bread 50 loaves of bread 51 loaves of bread

If the radius of the compass is 14 millimeters, what is the
 approximate area of the compass? 
A. 87.92 mm2
B. 615.44 mm2
C. 1,230.88 mm2
D. 43.96 mm2

Answers

we know that
area of a circle=pi*r²
for r=14 mm
area=pi*14²----> 615.44 mm²

the answer is
615.44 mm²

Given the figure below, find the values of x and z.

Answers

[tex](13x-85)^o=97^o\\\\13x-85=97\ \ \ |+85\\\\13x=182\ \ \ |:13\\\\x=14[/tex]

[tex]z^o+97^o=180^o\ \ \ |-97^o\\\\z^o=83^o[/tex]

Answer: x = 14; z = 83

Answer:

x = 14; z = 83 hope this helps u


What is the value of x in the triangle ?

Answers

142.33 should be correct.

Nick gets out of school at 2:25pm he has a 16 minute ride home on the bus next he goes on s 30 minute bike ride then he spends 55 minutes doing homework at what time does nick finish his homework

Answers

Hi there! The answer is 4:06 pm.

Nick gets out of school at 2:25 pm.
He has a 16 minute ride home on the bus, so he'll arrive at home at 2:41 pm.

Next, he goes on a 30 minute bike ride, which will start at 2:41 pm. and thus and at 3:11 pm. 

Then he spends 55 minutes doing homework, which starts at 3:11 pm. and will end at 4:06 pm.

The answer is 4:06 pm.
~Hope this helps you!

Please Help!! Will pick brainliest!

Answers

small circle 2/4 = 1/2 and the big circle is 3/5 i hope this is correct. im truly sorry if this was wrong

janis and susan went to a clearance sale at a clothing store all blouses were selling for the same price and all skirts were selling for the same price janis bought 4 blouses and skirts in total of $68 what was the cost of each blouse?

Answers

Final answer:

If all 4 items were blouses, each blouse would cost $17. Without knowing how many skirts were bought, we can't definitively determine the exact price of each blouse.

Explanation:

In order to find the cost of each blouse we need to follow the step-by-step solution. Imagine that all items Janis purchased were blouses. As we don't know the exact number of skirts she bought, assume she bought 4 blouses for $68, so the price of one blouse would be $68 divided by 4, which equals $17. However, if Janis also purchased skirts which are not necessarily the same price as blouses, the price of a blouse could actually be less than $17. Without further information on the number and price of skirts, we can't definitively say what the price of each blouse would be.

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what is the position of D on the number line below?

write your answer a fraction or mixed number

Answers

The position 'D' on a number line, based on the information given, is approximately one and two-thirds units, or 1 2/3, to the right of the center bottom perpendicular hash mark, often representing zero.

The position of 'D' on the number line represents the location of a particular point labeled as 'D.'

According to the provided reference, the fifth dot, presumably 'D', is about one and two-third perpendicular hash marks to the right of the center bottom perpendicular hash mark.

On a typical number line, the center bottom perpendicular hash mark often represents zero.

If each perpendicular hash mark to the right of zero denotes one unit, then 'D' would be located at 1 2/3 or 1.67 on the number line. However, without the actual number line, this remains an estimated position.

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The probable question may be:

What is the position of D below?

Mrs. Thomas is preparing a lunch for a group of students.

A can of juice has a radius of 4 cm and a height of 11 cm.
Mrs. Thomas knows she needs at least 5,100 Cm^3 of juice.

How many cans of juice will Mrs. Thomas need to buy?

Answers

Volume for a cylinder- V= πr^2h (pi multiplied by r squared times h)

V=π4^2(11)
V= (approximately) 552.92 cm cubed

5100/552.92= (approximately) 9.2 cans

To determine the number of cans of juice Mrs. Thomas needs to buy, calculate the volume of juice in one can and then divide the total required volume by the volume of one can. Mrs. Thomas will need to purchase at least 10 cans of juice.

To find out how many cans of juice Mrs. Thomas needs to buy, we need to calculate the volume of juice in one can first.

We use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height.Calculate the volume of one can: V = 3.142 x (4 cm)² x 11 cm = 554.632 cm³.Divide the total volume needed by the volume of one can: Number of cans = 5,100 cm³ / 554.632 cm³ = 9.19.

Since you can't buy a fraction of a can, Mrs. Thomas will need to buy at least 10 cans of juice.

Find the volume of this triangular prism. Dimensions are in inches

Answers

This prism is the half of rectangular prism, so first find the volume of rectangular prism then divide it by 2 and you'll get the volume of this triangular prism: (12x16x10)/2=960in^3
Volume=l×w×h

12×16=192 (l×w)

192×10=1,920in=volume

Use the graph of f (x) to find the solutions to the equation f (x) = 0.

A. two solutions: x = 6, -2
B. two solutions: x = -6, 2
C. one solution: x = -12
D. no solutions

Answers

The graph intersects y = 0 at x = 2 and x = -6, so the answer is B.

The graph of f(x) have two solution: x= -6, 2.

What is Solution of function?

To graphically solve a system of linear equations, we graph both equations in the same coordinate system. The system's solution will be found where the two lines intersect.

For instance, The intersection of the two lines is (-3, -4), which is the solution to this system of equations.

To find the solution of f(x) at f(x) = 0.

we need to focus on the the points where the graph cuts the x axis.

This is because when f(x)= 0 then it means that y= 0 such that the points will lies on the x axis.

Now, from seeing the function have two solutions.

Thus, the solution of the f(x) is -6 and 2.

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Beth drew four quadrilaterals which of the four quadrilaterals that she Drew is a regular polygon

Answers

D would be a regular polygon since regular polygons are defined as shapes that consist of the same sized angles and sides. 

This is an EXPLAIN YOUR THOUGHTS QUESTION, be sure to answer ALL parts of the questions and show all your work.

Task: Find the surface area of a square pyramid with each side of the base measuring 6 cm and the slant height is 12 cm.

Part a) Identify the known values

Part b) Set up the equation that you will use to solve (be sure to include the known values and the variable that you are trying to solve for)

Part c) Solve the equation. (Be sure to include units!)

Answers

a) The known values are ...
• the edge length of the square pyramid base is 6 cm
• the slant height of the square pyramid faces is 12 cm

b) The surface area is the sum of the area of the base and the area of the four triangular sides. The area of a triangle is half the product of base length and height (slant height, in this case).
  A = b² +4*(1/2)*bh = b(b +2h)
Substituting known values, we have ...
  A = (6 cm)*(6 cm +2*12 cm)

c) A = (6 cm)*(6 cm +24 cm) . . . . order of operations: multiplication inside parens
  A = (6 cm)*(30 cm) . . . . . addition inside parens
  A = 180 cm² . . . . . . . . . . multiplication
The area of the pyramid is 180 cm².

Emilio borrows $1200 from a bank with 8% simple interest per year. How much interest will he have to pay back in 2 years?

Answers

Simple Interest equation is I=p×r×t
P= is the principal amount (1200)
R= is the interest rate per year (8% or 0.08)
T= time in years (2)

I= 1200 × 0.08 × 2= 192.00

Interest is 192.00

The interest per year on the amount of money that Emillio borrowed  from the bank at the rate of 8% interest is $192

Interest can be regarded as the charges that is added to the principal, usually some percentage of the principal.Principal is the amount of money that is been lent out.Rate can be regarded as the percentage increase of the principal.Time (t) can be regarded as the period that is needed to pay the money that was lent out back.

were were given rate (r) as[tex]8% = 0.08[/tex]%with[tex]interest (I)[/tex]as ?[tex]principal (P)= $1200[/tex]

From the the formula for expressing

[tex]simple interest [ I= prt][/tex]

[tex]P= principal \\ I= interest\\ r= rate[/tex]Then substitute into the formula[tex]I= (1200 * 0.08 * 2)[/tex]

[tex]= 192.00[/tex]

Therefore, the interest on the money is $192

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the cost of running an appliance varies jointly as the number of watts used, the hours of operation, and the cost per kilo-watt hour. A 6000 watt convection oven operates for 10 minutes for 15 cents at a cost of 7.5 cents per kilo-watt hour. what is the cost of cooking two meals if each meal takes 70 minutes to make?

Answers

Final answer:

The cost of cooking two 70-minute meals on a 6000-watt appliance with a kilo-watt rate of 7.5 cents will be roughly $1.05.

Explanation:

Your question relates to the calculation of the cost of running an appliance based on its power, time of use, and the cost per kilo-watt hour. When evaluating power and energy consumption, we use an equation for energy, which states that E = Pt, where E is the energy (in kilo-watt hours), P is the power (in kilo-watts), and t is the time (in hours).

First, to find the cost, we need to convert everything to respective units. The 6000 watts is equivalent to 6 kilowatts (kw), and 10 minutes is equivalent to 10/60 or approximately 0.167 hours. The cost per kilo-watt hour is 7.5 cents.

The energy consumed would thus be E = Pt = (6kw)(0.167 hr)= 1kwh. The cost of running the appliance for 10 mins is (1kwh)(7.5 cent/kwh) = 7.5 cents.

To cook one meal, with a time of 70 minutes (or approximately 1.167 hours), we will have E = Pt = (6kw)(1.167 hr)= 7kwh. The cost of cooking one meal therefore would be (7kwh)(7.5 cent/kwh) = 52.5 cents.

Finally, to cook two meals, you would just double this cost, resulting in 2 * 52.5 cents = 105 cents or $1.05.

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Kali wants to build this birdhouse.she bought a24 inch by 48 inch sheet of plywood does kali have enough wood to make the bird house Explain Next Question: kali Decides to paint the bird house.she a a pint of paint that covers 32.5ft^2 of surface how can you tell that kali has enough paint without calculating?? 14 Points

Answers

1. First, we are going to find the area of the sheet of plywood. The sheet of plywood is a rectangle, so to find its area, we can use the formula for the area of a rectangle: [tex]A=wl[/tex]
where
[tex]A[/tex] is the area
[tex]w[/tex] is the width 
[tex]l[/tex] is the length 
We can infer from our problem that the width of the plywood's sheet is 24 inch and the length is 48 inch, so [tex]w=24[/tex] and [tex]l=48[/tex]. Lets replace those values in our formula:
[tex]A=wl[/tex]
[tex]A=(24)(48)[/tex]
[tex]A=1152[/tex] square inches

Next, we are going to find the surface area birdhouse. The birdhouse is a rectangular prism with 5 inches width, 5 inches length, and 8 inches height, so we can use the formula for the surface area of a prism: [tex]A=2(wl+hl+hw)[/tex]
where
[tex]A[/tex] is the surface area 
[tex]w[/tex] is the width 
[tex]l[/tex] is the length 
[tex]h[/tex] is the height 
We already know those values, so lets replace them:
[tex]A=2(5*5+8*5+8*5)[/tex]
[tex]A=210[/tex] square inches 

Since 210 square inches is less than 1152 square inches, we can conclude that Kali has enough plywood to build the birdhouse.

2. We know that there are 144 in^2 in 1 ft^2; those are a lot of square inches! We also know that the surface area of Kali's birdhouse is 210 in^2. Since there are a lot more than 210 square inches in 32.5 square feet, we can conclude that he has more than enough painting to paint his bird house.


Using the continuously compounding formula, what would the be the balance if you invest $5500 at a rate of 8% compounded continuously for 6 years? PLEASE SHOW ALL OF YOUR WORK in the space provided.

Answers

Continuously compounding formula is given by:
A=Pe^(rn)
where:
A=future value
P=principle
r=rate
n=number of terms
From the information given:
P=$5500, r=8%, n=6 years
thus
A=5500e^(0.08×6)
A=5500e^(0.48)
A=$8888.41
The balance would be $8888.41

Which ratio is not equivalent to the other three? A. 2/5 B. 12/25 C. 6/15 D. 18/45.

Answers

b. 
because 2/5=.4
12/25=.48
6/15=.4
18/45=.4
The answer would be answer choice B

Which of the following statements is NOT true?

1) Similar quadrilaterals have all corresponding angles.

2) Similar quadrilaterals have corresponding sides in the same proportion.

3) Similar quadrilaterals are always reflections of one another.

4) Similar rectangles have corresponding angles & sides that are in proportions

Answers

Final answer:

The incorrect statement about similar quadrilaterals is that they are always reflections of one another. Similarity requires equal angles and proportional sides, but does not require figures to be reflections.

Explanation:

The statement that is NOT true among the ones provided about similar quadrilaterals is "Similar quadrilaterals are always reflections of one another."While similar quadrilaterals do have corresponding angles and sides that are in proportion, that alone does not necessitate that one is a reflection of the other.

Reflection involves a specific type of isometry where the figure is flipped across a line, creating a mirror image.

Similarity, on the other hand, only requires that all angles are congruent and all sides are in proportion, regardless of any reflection or orientation.

To further illustrate, consider two rectangles that are similar. They may simply have their sides scaled up or down by the same factor, without necessarily being reflections of one another.

On the other hand, two shapes that are reflections of each other would be congruent, implying that they are the same size as well as being mirror images with respect to a line of reflection.

Final answer:

The statement that is NOT true is number 3: Similar quadrilaterals are always reflections of one another.

Explanation:

The statement that is NOT true is number 3) Similar quadrilaterals are always reflections of one another.

Similar quadrilaterals have all corresponding angles (statement 1) and corresponding sides in the same proportion (statement 2). However, not all similar quadrilaterals are reflections of each other. Similarity refers to the relationship between the corresponding angles and sides of two shapes, not their orientation or position in space.

For example, consider two rectangles with different orientations, but the same angle measures and ratio of corresponding sides. These rectangles are similar, but they are not reflections of each other.

let f(x)=2x^2-3x+8.what is the value of f(-4)?

Answers

 f(x)=2x²- 3x + 8

f(-4) = 2(-4)² - 3(-4) + 8 = 52

Answer: 52
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